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Finding the Third Proportional to 13,763.81 and 20,026.13

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Solution

The third proportional to 13,763.81 and 20,026.13 is: 29,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.81 : 20,026.13 = 20,026.13 : x
  2. Step 2: Convert to fraction form
    13,763.81/20,026.13 = 20,026.13/x
  3. Step 3: Cross multiply
    13,763.81x = 20,026.13 × 20,026.13
  4. Step 4: Simplify right side
    13,763.81x = 401,045,682.52
  5. Step 5: Solve for x
    x = 401,045,682.52/13,763.81
  6. Step 6: Final answer
    x = 29,137.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.